Add 35/32 and 20/45
1st number: 1 3/32, 2nd number: 20/45
35/32 + 20/45 is 443/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 32 × 45 = 1440,
35/32 = 35 × 45/32 × 45 = 1575/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
20/45 = 20 × 32/45 × 32 = 640/1440 - Add the two like fractions:
1575/1440 + 640/1440 = 1575 + 640/1440 = 2215/1440 - 2215/1440 simplified gives 443/288
- So, 35/32 + 20/45 = 443/288
In mixed form: 1155/288
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